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Finding the Fourth Proportional to 166.71, 231.24 and 161.22

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Solution

The fourth proportional to 166.71, 231.24 and 161.22 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.71 : 231.24 = 161.22 : x
  2. Step 2: Convert to fraction form
    166.71/231.24 = 161.22/x
  3. Step 3: Cross multiply
    166.71x = 231.24 × 161.22
  4. Step 4: Simplify right side
    166.71x = 37,280.51
  5. Step 5: Solve for x
    x = 37,280.51/166.71
  6. Step 6: Final answer
    x = 223.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.